From the abstract:
We show that a single-couple origin of humanity as recent as 500kya is consistent with data. With only minor modifications of our parsimonious model assumptions, we suggest that a single-couple origin 100kya, or more recently, is possible
From the methods:
Scenario 1 A single couple 100,000 generations ago (about 2mya) having zero heterozygosity (identical homozygous chromosomes), grows rapidly to a population of 10,000 people, then grows slowly and linearly to 16,000 people near the present.
Scenario 2 A single couple 25,000 generations ago (about 500kya) having primordial heterozygosity of 0.012,5 grows rapidly to a population of 16,000 people, then holds steady.
And the discussion:
First, the most obvious extension of our model is to generalize the parameter that (apart from primordial diversity) determines the timescale - the germline mutation rate.
As a second extension, it is worth noting that the human population has probably been very nonhomogeneous, with several more or less interconnected subpopulations, which could skew the distribution of alleles
The third and possibly most promising extension of our model is to include natural selection, most notably directional selection with selective sweeps.
But in light of the many possible extensions, we suggest that it is possible to fit a model to genetic data, for which the founding couple lived 100kya ago or even more recently.
That 100 kya is unsubstantiated speculation, and perhaps should not have been included in the abstract.
Their conclusion is:
the critical point that we wish to make is that, as far as we know scientifically from the genetic data, the human species could have come from as a single couple, so that all humans alive today could have descended uniquely from that first pair.
It is notable that this paper does not address all the genetic data, but only one narrow dimension. So this conclusion is not appropriately qualified. They only showed this with AFS/SFS, not other aspects of the data, such as TMR4A. In light of my reread of the paper, it seems that this does not add new information to @glipsnort’s analysis in 2016.
It appears also that @glipsnort and @evograd were correct. They did not consider a scenario with AE 200 kya. Thank you for the correction.